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Finding the Fourth Proportional to 5,927.67, 8,889.51 and 1,978.05

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Solution

The fourth proportional to 5,927.67, 8,889.51 and 1,978.05 is: 2,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.67 : 8,889.51 = 1,978.05 : x
  2. Step 2: Convert to fraction form
    5,927.67/8,889.51 = 1,978.05/x
  3. Step 3: Cross multiply
    5,927.67x = 8,889.51 × 1,978.05
  4. Step 4: Simplify right side
    5,927.67x = 17,583,895.26
  5. Step 5: Solve for x
    x = 17,583,895.26/5,927.67
  6. Step 6: Final answer
    x = 2,966.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.